Given:
Fixed fee = $40
Additional fee = $15 per hour
To find:
The equation to represent Bob's cost to repair his refrigerator.
Solution:
Let y be the total cost for x hours.
Additional fee for one hour = $15
Additional fee for x hour = $15x
Total cost = Fixed fee + Additional fee
[tex]y=40+15x[/tex]
Therefore, the required equation is [tex]y=40+15x[/tex].
Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16
Answer:
The pentagon shape = 8
The star shape = 6
The curl shape = 3
The wave pattern shape = 5
Step-by-step explanation:
Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z
Horizontally, we have;
w + 2·x + y = 23.....(1)
2·y + 2·z = 16...........(2)
2·z + w + x = 24.. ..(3)
3·y + x = 15..............(4)
Vertically, we have;
2·x + z + y = 20.......(5)
2·y + w+ z = 19........(6)
From the above equations, we have;
From equation (4), we have x = 15 - 3·y
From equation (2), we have z = 8 - y
From equation (1), we have w = 23 - (2·(15 - 3·y) + y)
∴ w = 23 - 30 + 6·y - y = 5·y - 7
w = 5·y - 7
Substituting the above values for x, and z i equation (5) gives;
2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20
30 - 6·y + 8 - y + y = 20
6·y = 30 + 8 - 20 = 18
y = 18/6 = 3
y = 3
w = 5·y - 7 = 5×3 - 7 = 8
w = 8
z = 8 - y = 8 - 3 = 5
z = 5
x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6
x = 6
Therefore, we have;
w = The pentagon shape =8
x = The star shape =6
y = The curl shape = 3, and
z = The wave pattern shape =5
The number of each of the four given shapes filled in the rows and columns are;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
From the diagram, we see four shapes and so let us identify them with letters;
Inscribed pentagon shape = a
Star shape = b
Spiral shape = c
Waves inside rectangle shape = d
For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;
a + 2b + c = 23 .....(eq 1)
For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;
2c + 2d = 16 ......( eq 2)
For the third row, we see 1 star, one inscribed pentagon and 2 Waves inside rectangle shape. Thus;
a + b + 2d = 24 ....(eq 3)
For the fourth row, we see 3 spiral shapes and one star shape. Thus;
b + 3c = 15 ....(eq 4)
Looking at the columns, we see that;
First column;
2c + a + d = 19 ....(eq 5)
Second column, we have;
2b + c + d = 20 .....(eq 6)
From eq 4; b = 15 - 3c
From eq 2, we have; d = 8 - c
Putting them in eq 1 gives;
a + 2(15 - 3c) + c = 23
a + 30 - 6c + c = 23
a = 5c - 7
Putting d = 8 - c and a = 5c - 7 into eq 5 gives;
2c + 5c - 7 + 8 - c = 19
6c + 1 = 19
6c = 18
c = 3
Put 3 for c in a = 5c - 7
a = 5(3) - 7
a = 8
Put 3 for c in b = 15 - 3c
b = 15 - 3(3)
b = 6
Put 3 for c in d = 8 - c
d = 8 - 3
d = 5
Thus, we have;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
Read more at; https://brainly.com/question/18452224
24 boys out of 64 classmates is what percent
Answer:
37.5%
Step-by-step explanation:
24÷64=0.375
with percents, you have to move the decimal 2 spaces back
so that equals 37.5%
1)
What number is 4 times as many as 25?
Answer:
100
Step-by-step explanation:
55 = 18 +0.004x
What is x
Answer:
Your answer is: x = 9250
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Please show all work
Answer:
w = 19/15 or 1 4/15
Step-by-step explanation:
11/15 = w-(8/15) // - w-(8/15)
11/15-w+8/15 = 0
19/15-w = 0 // - 19/15
-w = -19/15 // * -1
w = 19/15
w = 19/15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]
[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex][tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]
[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]______________________________
[tex]\bold{Answers:}[/tex]
[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
If the perimeter of the regular pentagon is 75 cm what is the length of each side
Plz help nowww
If you wanna be crowed a brainliest:-)
Answer:
15 (mark me brainliest if you want and lmk if you need more help understanding)
Step-by-step explanation:
perimeter is (l*w)*2
if a pentagon is 5 sided, you do 75/5 which is 15.
each side has 15 cm
Please help or i get a detention!
Answer:
a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.
b)Angle BXC = 70⁰
Step-by-step explanation:
b) Since XB = XC, triangle BXC is therefore an isosceles triangle.
Angle XBC = Angle XCB
Sum of interior angles of a triangle = 180⁰
55⁰ + 55⁰ + Angle BXC = 180⁰
110⁰ + Angle BXC = 180⁰
Angle BXC = 180⁰- 110⁰
= 70⁰
Johnny scored a 75% on his math test. He got 18 questions
correct. How many questions were on the test? *
Answer:
24
Step-by-step explanation:
18/24=0.75
Hope this helps!
Which one should I choose
Answer:
4th one please give me brainliest
Step-by-step explanation:
What is the value of x? Enter only the number in the box! Help Asap
Answer:
x = 5
Step-by-step explanation:
90 - 55 = 35
8x - 5 = 35
+5 +5
8x = 40
x = 5
What goes in the blank?
A always
B sometimes
C never
D rarely
Answer:
B
Step-by-step explanation:
54 equals 9 more than a number $t$ .
Answer:54 = t + 9
Step-by-step explanation:
why is number multiplied by it self called a square of a number
Answer:
Because it is 2 of the same number.
Step-by-step explanation:
Answer:
I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.
Step-by-step explanation:
I hope this helps. Have a good day! :)
A computer technician charges $75 for a consultation plus $35 per hour. Write the linear equation that models this situation.
The answeris : y=35x+75
Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75
Answer:
22.25
Step-by-step explanation:
there are no special things to be considered.
You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:
20.25 + 2 = 22.25
The scale of a map is 1.5cm : 75km. What is the actual distance between two
towns that are 3.5cm apart on the map?
Answer:
175 km
Step-by-step explanation:
1.5/75=3.5/x
1.5x=262.5
x=175
An electronics manufacturer has 175 capacitors and the same number of capacitors is needed for each circuit board made. The manufacturer uses the capacitors to make 35 circuit boards. Identify and interpret the intercepts, then use the intercepts to graph the line
Answer:
its on google
Step-by-step explanation:
A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?
Answer: No its not a right angled triangle. Please mark as brainliest!
Answer:
Yes
Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse
find the square root of 144
Answer:
12
Step-by-step explanation:
Hi there !
144 | 2
72 | 2
36 | 2
18 | 2
9 | 3
3 | 3
1
144 = 2⁴ × 3²
√144 = √2⁴×3² = 2²×3 = 4×3 = 12
Good luck !
what is the next 3 terms for (-6,42,-294,2058)
Answer:
es
Step-by-step explanation:
Answer:
A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.
Step-by-step explanation:
giving brainlist so plzzz help
Fill in the missing numbers in these equations.
(-7) x ? = 14
Answer:
x=-2
Step-by-step explanation:
Divide 14 by -7, then plug in the result(-2) in place of x. Run this new equation(-7*-2=14) through your calculator to be sure it's correct.
Can you help, Solve for x. -2 + 3x = 2х + 6 +
X
Answer:
trick question
Step-by-step explanation:
The equation cannot be answered since if you add like terms you have 3 x on each side but different total values
The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
X-
Calculate the Z-score for a tree that has a diameter of
1.83 inches. Round the Z-score to the nearest
hundredth, if necessary.
The Z-score for a tree that has a diameter of 1.83 inches
is about...?
Answer:
-1.34
Step-by-step explanation:
[tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]
I need help please
[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]
please help i don’t know how to find the slope
It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?
Answer:
8 degrees
Step-by-step explanation:
The temperature was -7 and then rose by 15, -7 +15 = 8
WILL CASHAPP¡¡¡
I will cash app the first person $10 that completes these questions correctly
Answer:
A=2
B=1
C=4
D=5
E=3
130 degrees
138 degrees
angle 2 is not alternate exterior to any angle
angle 6
Step-by-step explanation:
sorry about that I don't know what I was thinking
Give 5 reasons explaining why math is your favorite subject.
Give 5 reasons why you dont like math.
Give 5 areas that math can help you now or in the future.
Answer:Math is important
Step-by-step explanation:
It could help you get into collage and get a good job and with that you could start your life.
Answer:
1.)
I love working with numbers
I love math because of what a challenge it is
I love math because I can become a engineer
I love math because I can also become a doctor with it
I love math because it is useful
2.)
I don't like math because of the word problems
I don't like math because it sometimes gets too easy
I don't like math because I usually have to help others
I don't like math because people call me a nerd
I don't like math because it makes me explain in words
3.)
when your in the store and it helps you with knowing how much your spending
lets you know about if the discount in the store is really good or bad
helps you with becoming certain things when you grow up
it will help you with most of your jobs
Will help others if you know it, you can share your knowledge
Step-by-step explanation:
brainlist pls :>
You buy a 36-ounce can of tomatoes. How many pints is that?
Answer:
If you buy a 36-ounce can of tomatoes the number of pints will be 2.24
Step-by-step explanation:
1 Fluid Ounces = 0.062 Pints
A child needs to take 1/2 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose?
PLEASE HELP
Answer:
1/8 tablespoons
Step-by-step explanation:
Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.
You can do this by multiplying 1/2 by 1/4.
[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]
Answer:
it would be 1/8
Step-by-step explantion:
simply divide
1/2÷4
=1/8
(that should be right)